Question

Austin wants to rent a boat and spend less than $47. The boat costs $7 per hour, and Austin has a discount coupon for $9 off. What are the possible numbers of

hours Austin could rent the boat?
Use t for the number of hours.
Write your answer as an inequality solved for t.

Answer 1

Explanation:

The cost of renting the boat for t hours before the coupon is applied is 7t dollars. After applying the coupon, the cost becomes 7t - 9 dollars. Austin wants to spend less than $47, so we can set up the following inequality:

7t - 9 < 47

To solve for t, we can add 9 to both sides to isolate the term with t:

7t < 56

Then, we can divide both sides by 7:

t < 8

Therefore, Austin can rent the boat for any number of hours t such that 0 < t < 8, and the total cost after applying the discount coupon will be less than $47.

In interval notation, we can express the solution as:

0 < t < 8, or (0, 8)